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# Determine whether the sequence converges or diverges. If it converges, find the limit.$a_n = \left( 1+ \frac {2}{n} \right)^n$

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

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### Video Transcript

for this problem, we just have tio recall a certain serum, so recall that either the ex can be written as limit as n goes to infinity of one plus X over in to the end. And as long as you're familiar with this, the're, um then this problem is fairly straightforward. This is just limit as n goes to infinity of one plus two over in to the end. So the same thing that's happening here except instead of an ex we have to. Which means that this should be equal to e to the power of two. So we have convergence and it converges to e squared.

#### Topics

Sequences

Series

##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

Lectures

Join Bootcamp